随机分布参数切换系统的输入输出有限时间稳定与镇定

本文研究了一类随机分布参数切换系统的输入输出有限时间稳定问题.首先,给出了系统在均方意义下输入输出有限时间稳定的概念.其次,通过利用分片Lyapunov-Krasovskii函数、平均驻留时间及线性矩阵不等式等工具,建立了随机分布参数切换系统输入输出有限时间稳定的充分条件;设计一个状态反馈控制器确保相应的闭环系统输入输出有限时间稳定,并以严格的数学推导加以证明.最后,通过两个仿真例子验证了所得结果的有效性.

Input-output finite-time stability and stabilization of stochastic distributed parameter switched systems

Here the input-output finite-time stability for a class of stochastic distributed parameter switched systems is studied.First, the concept of the input-output finite-time stability of system in mean square sense is given.Second, by using the piecewise Lyapunov-Krasovskii function, average dwell time, linear matrix inequality and other tools, the sufficient conditions of input-output finite-time stability are constructed.In addition, a state feedback controller is designed to ensure the input-output finite-time stability of corresponding closed-loop system, which is proved by strict mathematical derivation.Finally, two simulation examples are given to verify the effectiveness of the results obtained.